Prime Factors of 11011

Steps to find Prime Factors of 11011 by Division Method

To find the primefactors of 11011 using the division method, follow these steps:

• Step 1. Start dividing 11011 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 11011, which is 7. Divide 11011 by 7 to obtain the quotient (1573).
  11011 ÷ 7 = 1573
• Step 3. Repeat step 1 with the obtained quotient (1573).
  1573 ÷ 11 = 143
  143 ÷ 11 = 13
  13 ÷ 13 = 1

So, the prime factorization of 11011 is, 11011 = 7 x 11 x 11 x 13.

Steps to find Prime Factors of 11011 by Factor Tree Method

We can follow the same procedure using the factor tree of 11011 as shown below:

So, the prime factorization of 11011 is, 11011 = 7 x 11 x 11 x 13.

Introduction to Prime Factors?

In mathematics, prime numbers are defined as all those natural numbers greater than 1 that has only two divisors one being number 1 and the other being the number itself. When we express any number as the products of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 11011 are 7 x 11 x 11 x 13.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
• Two prime factors of a given number are always coprime to each other.
• 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 11011 but not a prime factor of 11011.

Frequently Asked Questions

• Which is the smallest prime factor of 11011?

  Smallest prime factor of 11011 is 7.

• Is 11011 a perfect square?

  No 11011 is not a perfect square.

• What is the prime factorization of 11011?

  Prime factorization of 11011 is 7 x 11 x 11 x 13.

• What is prime factorization of 11011 in exponential form?

  Prime factorization of 11011 in exponential form is 7 x 11² x 13.

• Is 11011 a prime number?

  false, 11011 is not a prime number.

• Which is the largest prime factors of 11011?

  The largest prime factor of 11011 is 13.

• What is the product of all prime factors of 11011?

  Prime factors of 11011 are 7 x 11 x 11 x 13. Therefore, their product is 11011.

• What is the sum of all odd prime factors of 11011?

  Prime factors of 11011 are 7 , 11 , 11 , 13, out of which 7 , 11 , 11 , 13 are odd numbers. So, the sum of odd prime factors of 11011 is 7 + 11 + 11 + 13 = 42.

• What is the product of all odd prime factors of 11011?

  Prime factors of 11011 are 7 , 11 , 11 , 13, out of which 7 , 11 , 11 , 13 are odd numbers. So, the product of odd prime factors of 11011 is 7 x 11 x 11 x 13 = 11011.